What is the answer to (x+1)/(2x-3)= 5/6 ?

The answer to (x+1)/(2x-3)= 5/6 is x= 21/4

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(x+1)/(2x-3)= 5/6

\frac{x + 1}{2 x - 3} = \frac{5}{6}

x = \frac{21}{4}

Decimal Notation

x = 5.25

Solution steps

\frac{x + 1}{2 x - 3} = \frac{5}{6}

Cross multiply

6 x + 6 = 10 x - 15

Move

6

to the right side

6 x = 10 x - 21

Move

10 x

to the left side

- 4 x = - 21

Divide both sides by

- 4

x = \frac{21}{4}

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}

Combine undefined points with solutions:

x = \frac{21}{4}

2 F - G = \frac{D}{h}

\frac{x}{x + 2} = \frac{1}{x}

\frac{9 ( y - 1 )}{3 ( y + 2 )} = - 21

\frac{x + 2}{x + 6} = \frac{x}{x + 3}

\frac{3}{x + 2} = 2 - \frac{6}{x}

What is the answer to (x+1)/(2x-3)= 5/6 ?
The answer to (x+1)/(2x-3)= 5/6 is x= 21/4
Solve for x: (x+1)/(2x-3)= 5/6
The solution is x= 21/4